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Finding the Fourth Proportional to 410,097.89, 565,934.31 and 228,799.04

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Solution

The fourth proportional to 410,097.89, 565,934.31 and 228,799.04 is: 315,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,097.89 : 565,934.31 = 228,799.04 : x
  2. Step 2: Convert to fraction form
    410,097.89/565,934.31 = 228,799.04/x
  3. Step 3: Cross multiply
    410,097.89x = 565,934.31 × 228,799.04
  4. Step 4: Simplify right side
    410,097.89x = 129,485,224,001.39
  5. Step 5: Solve for x
    x = 129,485,224,001.39/410,097.89
  6. Step 6: Final answer
    x = 315,742.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.